Influence of Thermo-fluid-dynamic Parameters on Fluidics in an Expanding Thermal Plasma Deposition Chamber

Technology of thin film deposition is of interest in many engineering fields, from electronic manufacturing to corrosion protective coating. A typical deposition process, like that developed at the University of Eindhoven, considers the deposition of a thin, amorphous film of C:H or of Si:H on the substrate, using the Expanding Thermal arc Plasma technique. In this paper a computing procedure is proposed to simulate the flow field in a deposition chamber similar to that at the University of Eindhoven and a sensitivity analysis is carried out in terms of: precursor mass flow rate, electrical power, supplied to the torch and fluid-dynamic characteristics of the plasma jet, using different nozzles. To this purpose a deposition chamber similar in shape, dimensions and operating parameters to the above mentioned chamber is considered. Furthermore, a method is proposed for a very preliminary evaluation of the film thickness distribution on the substrate. The computing procedure relies on two codes working in tandem; the output from the first code is the input to the second one. The first code simulates the flow field in the torch, where Argon is ionized according to the Saha-s equation, and in the nozzle. The second code simulates the flow field in the chamber. Due to high rarefaction level, this is a (commercial) Direct Simulation Monte Carlo code. Gas is a mixture of 21 chemical species and 24 chemical reactions from Argon plasma and Acetylene are implemented in both codes. The effects of the above mentioned operating parameters are evaluated and discussed by 2-D maps and profiles of some important thermo-fluid-dynamic parameters, as per Mach number, velocity and temperature. Intensity, position and extension of the shock wave are evaluated and the influence of the above mentioned test conditions on the film thickness and uniformity of distribution are also evaluated.




References:
[1] M.C.M. van de Sanden, R.J. Severens, J.W.A.M. Gielen, R.M.J. Paffen
and D.C. Schram, "Deposition of a-Si:H and a-C:H using an expanding
thermal arc plasma", Plasma Sources Sci. Technol., vol. 5, pp. 268-274 ,
1996.
[2] M.C.M. van de Sanden, J.M. Regt and D.C. Schram, "The behaviour of
heavy particles in the expanding plasma jet in argon", Plasma Sources
Sci.Technol.,vol.3, pp. 501-510 ,1994.
[3] K.J. Kuijlaars, "Detailed modelling of chemistry and transport
phenomena in CVD reactors", Ph.D. Thesis, TUDelft, 1996.
[4] E. Neyts, "Mathematical simulation of the deposition of diamond-like
carbon (DLC) films", Ph.D. Thesis, University of Antwerpen, 2006.
[5] S,E. Selezneva, M.I. Boulos, M. C. M. van de Sanden, R. Engeln, D.C.
Schram, "Stationary supersonic plasma expansion: continuum fluid
mechanics versus direct simulation Monte Carlo method", J. Phys. D,
vol. 35, pp. 1362-1372, 2002.
[6] G. Abbate, "Multi-scale modelling of gas flows with continuum-rarefied
transitions", Ph.D. Thesis, TUDelft, 2009.
[7] G. Abbate, C.R. Kleijn, B.J. Thijsse, R. Engeln, M.C.M. van de Sanden
and D.C. Schram, "Influence of rarefaction on the flow dynamics of a
stationary supersonic hot-gas expansion", Physical Review E, vol. 77
036703, 2008.
[8] G.A. Bird, "The DS2V program user-s guide, (Version 4.3)" (included in
the program), G.A.B. Consulting Pty Ltd, Sydney, 2006.
[9] G. Zuppardi, F. Romano, "Direct Simulation Monte Carlo Method in
Industrial Applications" in Direct Simulation Monte Carlo, Theory,
Methods & Applications, (DSMC09) Workshop, Santa Fe, 2009.
[10] Yu.A. Mankelevich, N.V. Suetin, M.N.R. Ashfold, W.E. Boxford, A.J.
Orr-Ewing, J.A. Smith and J.B. Wills, "Chemical kinetics in carbon
deposition d.c.-arc jet CVD reactors", Diamond and Related Materials,
vol. 12, pp. 383-390, 2003.
[11] D:A: Ariskin, I.V. Schweighert, A.L. Alexandrov, A. Bogaert and F.M.
Peeters, "Modeling of chemical processes in the low pressure capacitive
radio frequency discharges in a mixture of Ar/C2H2", Journal of Applied
Physics , vol. 105, 063305, 2009.
[12] J. Benedikt, D. C. Schram and M. C. M. van de Sanden, "Detailed TIMS
study of Ar/C2H2 expanding thermal plasma: identification of a-C:H film
growth precursors", J. Phys. Chem. A, vol. 109, 10153, 2005.
[13] J. Benedikt, S. Agarwal, D. Eijkman, W. Vandamme, M. Creatore and
M. C. M. van de Sanden, "Thereshold ionization mass spectrometry of
reactive species in remote Ar/C2H2 expanding thermal plasma", J. Vac.
Sci. Technol. A, vol. 23, pp. 1400-1411, 2005.
[14] G.A. Bird, "Molecular gas dynamics and Direct Simulation Monte
Carlo", Oxford, Clarendon, 1998.
[15] C. Shen , "Rarefied gas dynamic: fundamentals, simulations and micro
flows", Berlin, Springer-Verlag, 2005.
[16] G.A. Bird, "Sophisticated versus simple DSMC", in 2006 25th
International Symposium on Rarefied Gas Dynamics, Saint Petersburg,
pp. 349-354.
[17] G.A. Bird, "Sophisticated DSMC", notes from a short course held at the
DSMC07 Conference, Santa Fe, 2007.
[18] G. Zuppardi, A. Esposito, "Blowdown arc facility for low-density
hypersonic wind-tunnel testing", Journal of Spacecraft and Rokets, vol.
38, pp. 946-948, Nov.-Dec 2001.
[19] G.P. Russo, G. Zuppardi, A. Esposito, "Computed versus measured
force coefficients on a cone in a small arc facility", Journal of Aerospace
Engineering, vol. 222 Part G, pp.403-409, May 2008.
[20] J. D. Cobine, "Gaseous conductors theory and engineering
applications", New York, Dover Publication, 1958.
[21] H. Mizuseki, K. Hongo, Y. Kawazoe, L.T. Wille, "Multiscale simulation
of cluster growth and deposition processes by hybrid model based on
direct simulation Monte Carlo method", Computational Materials
Science, vol. 24, pp. 88-92, 2002.